Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54150bg |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
459648 |
Modular degree for the optimal curve |
Δ |
-12228165389520000 = -1 · 27 · 32 · 54 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -3 2 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-67876,-8644702] |
[a1,a2,a3,a4,a6] |
Generators |
[312:601:1] |
Generators of the group modulo torsion |
j |
-3258025/1152 |
j-invariant |
L |
4.4307788191879 |
L(r)(E,1)/r! |
Ω |
0.14530803491593 |
Real period |
R |
5.0820530120588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54150bn1 54150ch1 |
Quadratic twists by: 5 -19 |